Homework Statement
Let F be a field with p\inN, a prime natural number. Show that either X^{p}-\alpha is irreducible in F[X] or \alpha has a pth root in F
Homework Equations
The Attempt at a Solution
I'm trying to do this without making reference to the field norm, so far I've...
Ah, well now it seems obvious haha. I suppose having the question asked in the context of special relativity introduced unnecessary mystery to an otherwise simple problem. Even then, when I think about it, it's simple. Thanks (= case closed!
Hello folks! I have just come from a night at the pub with fellow students of life where over many a pint several mysteries of the universe were discussed. One of my friends asked me a question concerning special relativity that initially took me by surprise and which has me wondering about the...
Hello there, thanks for the speedy reply! We've not been given details on the geometry of the magnetic field, only the words 'purely radial'. I do know what the equation means, and in fact I think (hope) I'm making some progress. I've decided B2 is better off being written as a dot product of...
Hello! I have an assignment question that is a proving a real stone in my shoe, mostly because it is reminding how little I can recall about electromagnetism. It is part of a series of questions leading to the calculation the Alfven radius, where the solar wind decouples from the Sun's magnetic...